"I had the balls to call an election", she retorted at one point, using distinctly unparliamentary language.
"And I believe they should have a prime minister with a resolute determination to carry out their will".
"If the prime minister has a very big majority she will be able to do what she likes, the bigger the majority, the bigger the reshuffle", an unnamed minister was quoted by the Telegraph as saying. Mrs May said she would "make no excuses" for the way she had been treated and people with mental health issues had to be given "more support at an early stage".
May's Conservatives have been in power since 2010, and the prime minister faced tough questions about her government's cuts to welfare and health services.
"We are fighting this election to win and we are mounting a fantastic campaign in order to get that message across of how different our society and our politics could be", he said.More news: Korea's ICBM and nuclear weapons nears completion
Following a bruising encounter with the BBC's Andrew Neil on Thursday, Liberal Democrat leader Tim Farron is returning to the airwaves and the internet in the hunt for votes, with question sessions on Facebook and Mumsnet as well as an interview with LBC's Nick Ferrari.
Her Labour rival Mr Corbyn was heckled as he refused to say whether he would launch a retaliatory nuclear strike and denied supporting terrorism.
Sarah Dowling, a 57-year-old teacher, said she would be voting Labour despite reservations about Corbyn.
"We still need to think about people".
Labour is on 39 percent, up three points and its highest level since 2014, before Jeremy Corbyn became party leader."While Labour's tax and spending plans are unlikely to win any friends in the financial sector, the party's more sanguine stance towards striking a trade deal during the Brexit negotiations might find common ground with some City grandees", she wrote.Labour commands a lead among young Britons, but recent votes show they are the least likely to go to the polling stations.
The UK Labour party leader has received an important boost from the Vermont senator and leading American progressive Bernie Sanders, who faced off against Hillary Clinton in the Democratic party primaries past year. "I will decide on the circumstances at the time", Corbyn said.More news: UK prime minister's top aides resign after election fiasco
"Do you want to comment on that?" the host asked the Labour leader.
In the TV event, May was also accused of failing to stand up to the US President Donald Trump over his country's withdrawal from the Paris climate accord.
Another gentlemen in the audience said: "Would you use it as second use or would you allow North Korea or some idiot in Iran to bomb us and say "ooh, we better start talking", you'll be too late!"
The prime minister did not sign a joint statement by the leaders of Germany, France and Italy, who said they regretted Trump's decision and insisted that the accord can not be renegotiated.
Waving a hard copy about, the Labour leader said it a "serious and realistic document" that addressed the issues that many people faced.
Corbyn wants to get rid of Britain's Trident weapons system.More news: Trump travel ban suffers new court defeat
She came under fire over her plans to pay for social care by taking money from the estates of those who have run up bills, with one disabled man asking if her plans would leave him and his wife bankrupt.